Actually implement it so ending session puts you back in model picker #6202

Job	Run time
build-and-check	3m 5s
test-integration-packages/internal	1m 4s
test-integration-packages/billing	1m 3s
test-integration-cli	38s
test-integration-packages/agent-runtime	50s
test-integration-common	42s
test-integration-web	38s
test-packages/internal	45s
test-packages/agent-runtime	41s
test-integration-sdk	1m 21s
test-cli	56s
test-common	45s
test-.agents	43s
test-sdk	40s
test-web	59s
test-packages/billing	44s
	15m 34s

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